(3 = 3²), and find u(x,t) for the following wave: and Solve the wave equation (²) u(0,t) = u(1, t) = 0, t> 0 du u(x, 0) = 0.2 sin(37x), = 0 at t = 0., 0
(3 = 3²), and find u(x,t) for the following wave: and Solve the wave equation (²) u(0,t) = u(1, t) = 0, t> 0 du u(x, 0) = 0.2 sin(37x), = 0 at t = 0., 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
5
Transcribed Image Text:Solve the wave equation (²)
=
ax² ət²
u(0,t) = u(1,t) = 0, t>0
Ju
u(x, 0) = 0.2 sin(37x), = 0 at t = 0., 0<x< 1 m
ət
Ou(x, t) = 0.2 cosnt sin 37x
Ou(x, t) = 0.2 cos лt sin nx
Ou(x, t) = 0.2 cos 3nt sin nx
1
, and find u(x,t) for the following wave:
and
u(x, t) = 0.2 cos 3nt sin 3nx
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
